Home / 1,508.16-2,262.80-687.20

Finding the Fourth Proportional to 1,508.16, 2,262.80 and 687.20

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Solution

The fourth proportional to 1,508.16, 2,262.80 and 687.20 is: 1,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.16 : 2,262.80 = 687.20 : x
  2. Step 2: Convert to fraction form
    1,508.16/2,262.80 = 687.20/x
  3. Step 3: Cross multiply
    1,508.16x = 2,262.80 × 687.20
  4. Step 4: Simplify right side
    1,508.16x = 1,554,996.16
  5. Step 5: Solve for x
    x = 1,554,996.16/1,508.16
  6. Step 6: Final answer
    x = 1,031.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.